Pith Number

pith:26PT5B4T

pith:2011:26PT5B4TUEGFORYTPFB3Y5KXK7

not attested not anchored not stored refs pending

Irreducible triangulations of surfaces with boundary

Alexandre Boulch, Atsuhiro Nakamoto, \'Eric Colin de Verdi\`ere

arxiv:1103.5364 v2 · 2011-03-28 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{26PT5B4TUEGFORYTPFB3Y5KXK7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:08:14.841422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d79f3e8793a10c5747137943bc755757f59a15a402d21378dc90bbb01b18aa27

Aliases

arxiv: 1103.5364 · arxiv_version: 1103.5364v2 · doi: 10.48550/arxiv.1103.5364 · pith_short_12: 26PT5B4TUEGF · pith_short_16: 26PT5B4TUEGFORYT · pith_short_8: 26PT5B4T

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/26PT5B4TUEGFORYTPFB3Y5KXK7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d79f3e8793a10c5747137943bc755757f59a15a402d21378dc90bbb01b18aa27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29fe3ee80cfb9965d8f94b3277f5e8d50f2dc18f1245a875977967ff0956bcfd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-28T14:17:48Z",
    "title_canon_sha256": "d2b607f3687ee265d68bfe551f0ff724d83fdde71e0080cae3150f0c6b185cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5364",
    "kind": "arxiv",
    "version": 2
  }
}